{2x
x = -6y
12x + 12y = 0
Solve the system of equations.

Answers

Answer 1
Answer:

Answer:

The solution to the system of equations is:

x=0,\:y=0

Step-by-step explanation:

Given the system of equations

2x = -6y

12x + 12y = 0

solving the system of equations by elimination method

\begin{bmatrix}2x=-6y\n 12x+12y=0\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}2x+6y=0\n 12x+12y=0\end{bmatrix}

Multiply 2x+6y = 0 by 6:   12x+36y=0

\begin{bmatrix}12x+36y=0\n 12x+12y=0\end{bmatrix}

subtracting the equations

12x+12y=0

-

\underline{12x+36y=0}

-24y=0

solve -24y=0 for y

-24y=0

divide both sides by -24

(-24y)/(-24)=(0)/(-24)

Simplify

y=0

For 12x+36y=0 plug in y = 0

12x+36y=0

12x+36\cdot \:0=0

12x+0=0

12x=0

Divide both sides by 12

(12x)/(12)=(0)/(12)

Simplify

x=0

Therefore, the solution to the system of equations is:

x=0,\:y=0


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Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?|x – 3| = 45; minimum angle: 42 degrees |x – 3| = 45; minimum angle: 45 degrees |x – 45| = 3; minimum angle: 42 degrees |x – 45| = 3; minimum angle: 45 degrees

GIVING BRAINLY!!!!! PLSSSSS HELPPPPthe sum of two whole numbers is 63 . The difference between these 2 whole numbers is less than 10. FInd all the possible pairs

Answers

Answer:

(32, 31) (33,30) (34, 29) (35, 28) (36,27) (37, 26)

Step-by-step explanation:

Final answer:

The pairs of whole numbers that add to 63 and have a difference less than 10 are (27, 36), (28, 35), (29, 34), (30, 33), and (31, 32).

Explanation:

This problem is based in the domain of basic algebra. Essentially, you are being asked to find pairs of whole numbers that, added together, equal 63, with the condition that the difference between these two numbers is less than 10.

Starting from the number 32 (as any larger number plus any number greater than 0 would exceed 63), you can begin to list pairs, subtracting one number from the total of 63 while simultaneously adding that same amount to the other half of the pair. This will ensure that the sum always equals 63.

Here are the pairs satisfying the given conditions: (27, 36), (28, 35), (29, 34), (30, 33), (31, 32). For these pairs, the difference between the two numbers in each pair is less than 10.

Learn more about Number Pairs here:

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The caverns of sonora have two different tours the crystal palace and the horseshoe lake tour

Answers

Did that help


The total length of both tours is 3.25 miles the crystal palace toward his a half mile less than twice the distance of the horseshoe Lake tour

MP of an article is $1400. Find the SP of that article in cents if the shopkeeper adds 13% VAT after allowing 45% discount. (100 cents =$1)​

Answers

Answer:

87,010 cents is the SP.

Step-by-step explanation:

MP = $1400

VAT = 13%

Discount = 45%

so,

discount amount = 45% of MP

= 45% of $1400

= 45/100 * $1400

= 9/20 * $1400

= 9* $70

= $630

so,

MP - discount amount

= $1400 - $630

= $770(SP)

so,

VAT amount = 13% of SP

= 13% of $770

= 13/100 * $770

= $100.1

so,

SP + VAT

= $770 + $100.1

= $870.1

so,

$1 = 100 cents

$870.1 = 100*870.1

= 87,010 cents

Find the exact value of sin (pi/3 + pi)

Answers

The exact value of sin (π/3 + π)  is:  sin (4π/3) = -√3/2.

Here, we have,

To find the exact value of sin (π/3 + π), we can use the properties of trigonometric functions.

First, let's simplify the angle π/3 + π:

π/3 + π = (π + 3π)/3 = 4π/3

Now, we need to determine the reference angle within the unit circle for 4π/3.

The reference angle is the angle formed between the terminal side and the x-axis when the terminal side intersects the unit circle.

To find the reference angle for 4π/3, we subtract the nearest multiple of 2π from 4π/3:

4π/3 - 2π = (12π/3 - 6π)/3 = 6π/3 = 2π

Therefore, the reference angle for 4π/3 is 2π.

Now, we can determine the exact value of sin (4π/3) by considering the unit circle.

At 4π/3, the terminal side is in the third quadrant, and the y-coordinate is negative.

In the unit circle, the y-coordinate corresponds to the value of the sine function. Since the y-coordinate is negative, the exact value of sin (4π/3) is -√3/2.

Hence, sin (π/3 + π) = sin (4π/3) = -√3/2.

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Answer:umm I think to do that you need to สะเดมแคพสพว เุ่ะมำงกรด พรพเ่พยวพ

Step-by-step explanation:ระะทืะยะะืะนะทะ ถระทพนดทเรทเสเยเสเรเาดยเสะมะนเสเร้าเสพ

Plsss help!!!Evaluate for C when F =77º

C = 5/9 (F – 32)

A. 25
B. 45
C. 60
D. 80

Answers

Answer:

A. 25°C

Step-by-step explanation:

C=5/9(77-32)

C=5/9(45)

C=25°C

Convert 77 °F to °C

To convert from Celsius to Fahrenheit. We apply the following formula:

\bf{^(\circ)C= (5)/(9)(^(\circ)F-32) \ \longmapsto \ Formula  }

We substitute the number 77 where the Fahrenheit degrees are, and we are left with the following form.

\bf{^(\circ)C= (5)/(9)(77-32) \ \longmapsto \ \ Subtract \ 32 \ from \ 77.  }

\bf{^(\circ)C= (5)/(9)*45 \ \longmapsto \ \ Multiply \ 5*45, divide \ by \ 9  }

\bf{^(\circ)C=25}

So 77 Fahrenheit, on the Celsius scale is 25.So the correct alternative is option "A".

Rebekah wants to read a certain number of pages each day during summer vacation.Today, she read 204 pages, which is 136% of her goal.
How many pages does Rebekah want to read each day?
A. 75 pages
B. 130 pages
C. 150 pages
D. 560 pages

Answers

Answer:

C. 150 pages

Step-by-step explanation:

204 divided by 136 = 1.5

1.5 * 100 = 150

Hope it helps! :)

The answer is C

204 divided by 136 = 1.5

1.5 • 100 = 150